A Novel Two-parameter Nadarajah-Haghighi Extension: Properties, Copulas, Modeling Real Data and Different Estimation Methods

A new two-parameter lifetime distribution is proposed and numerically studied. The model has a flflexible failure rate shapes such as “monotonically increasing” , decreasing” “bathtub” “constant” “upside down” “J-shape” . Various of its statistical properties are derived. numerical analysis skewness kurtosis presented. Many bivariate multivariate extensions also presented via Farlie Gumbel Morgenstern copula, Renyi entropy modifified copula Clayton copula. Several estimation methods the maximum likelihood, Cramer-von-Mises, L-moment estimation, Anderson Darling, right Tail-Anderson Darling left tail-Anderson considered. Numerical simulations performed to assess performance methods. An environmental data set employed measure flflexibility compare